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Finding the Third Proportional to 7,211.53 and 15,197.63

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Solution

The third proportional to 7,211.53 and 15,197.63 is: 32,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.53 : 15,197.63 = 15,197.63 : x
  2. Step 2: Convert to fraction form
    7,211.53/15,197.63 = 15,197.63/x
  3. Step 3: Cross multiply
    7,211.53x = 15,197.63 × 15,197.63
  4. Step 4: Simplify right side
    7,211.53x = 230,967,805.64
  5. Step 5: Solve for x
    x = 230,967,805.64/7,211.53
  6. Step 6: Final answer
    x = 32,027.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.